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Finding the Fourth Proportional to 375.84, 566.46 and 359.64

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Solution

The fourth proportional to 375.84, 566.46 and 359.64 is: 542.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.84 : 566.46 = 359.64 : x
  2. Step 2: Convert to fraction form
    375.84/566.46 = 359.64/x
  3. Step 3: Cross multiply
    375.84x = 566.46 × 359.64
  4. Step 4: Simplify right side
    375.84x = 203,721.67
  5. Step 5: Solve for x
    x = 203,721.67/375.84
  6. Step 6: Final answer
    x = 542.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.